Stabilization of chaotic discrete-time systems by periodic delayed feedback control

Delayed feedback control (DFC) is a useful method of stabilizing unstable fixed points of chaotic systems without their exact information. We propose a periodic delayed feedback control for stabilization of unstable fixed points of the discrete-time chaotic systems. We derive a sufficient condition for stabilization by periodic DFC. We also show that this method can overcome the well-known odd number limitation of the conventional DFC with a constant.